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Finding the Third Proportional to 120,924,376 and 182,388,758

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Solution

The third proportional to 120,924,376 and 182,388,758 is: 275,094,733.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,924,376 : 182,388,758 = 182,388,758 : x
  2. Step 2: Convert to fraction form
    120,924,376/182,388,758 = 182,388,758/x
  3. Step 3: Cross multiply
    120,924,376x = 182,388,758 × 182,388,758
  4. Step 4: Simplify right side
    120,924,376x = 33,265,659,044,782,564
  5. Step 5: Solve for x
    x = 33,265,659,044,782,564/120,924,376
  6. Step 6: Final answer
    x = 275,094,733.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.